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Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor

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Abstract

A nonlinear parabolic integral problem arising in dynamic simulation of processes in activator-inhibitor systems is considered. Based on the asymptotic theory of such problems previously developed by the authors, the existence of solutions with boundary and internal layers is proved and their asymptotic behavior is found.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119992, Russia

    N. N. Nefedov & A. G. Nikitin

Authors
  1. N. N. Nefedov
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  2. A. G. Nikitin
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Correspondence to N. N. Nefedov.

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Original Russian Text © N.N. Nefedov, A.G. Nikitin, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 6, pp. 1081–1090.

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Nefedov, N.N., Nikitin, A.G. Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. Comput. Math. and Math. Phys. 51, 1011–1019 (2011). https://doi.org/10.1134/S0965542511060157

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  • DOI: https://doi.org/10.1134/S0965542511060157

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